Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation
| dc.creator | Pop, Iulia | |
| dc.creator | Stolin, Alexander | |
| dc.date | 2008-06-12 | |
| dc.date.accessioned | 2026-07-07T09:44:11Z | |
| dc.date.available | 2026-07-07T09:44:11Z | |
| dc.description | It was proved by Montaner and Zelmanov that up to classical twisting Lie bialgebra structures on $\mathfrak{g}[u]$ fall into four classes. Here $\mathfrak{g}$ is a simple complex finite-dimensional Lie algebra. It turns out that classical twists within one of these four classes are in a one-to-one correspondence with the so-called quasi-trigonometric solutions of the classical Yang-Baxter equation. In this paper we give a complete list of the quasi-trigonometric solutions in terms of sub-diagrams of the certain Dynkin diagrams related to $\mathfrak{g}$. We also explain how to quantize the corresponding Lie bialgebra structures. | |
| dc.identifier | https://arxiv.org/abs/0806.2053 | |
| dc.identifier | http://arxiv.org/abs/0806.2053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162781 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37; 17B62;17B81 | |
| dc.title | Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation | |
| dc.type | text |